A monster tale: A review on Borcherds’ proof of monstrous moonshine conjecture

Alan Reyes Figueroa

Keywords: moonshine conjecture | monster group | modular forms

We give a detailed exposition of Borcherds' proof of Monstrous Moonshine conjecture. We center our attention to the number theoretic area, mainly, modular forms and replicable functions. We give a detailed proof of the so called replication formulae.

Anexos:

• MonsterTale.pdf